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Finding the Fourth Proportional to 30,420.62, 45,638.26 and 9,644.12

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Solution

The fourth proportional to 30,420.62, 45,638.26 and 9,644.12 is: 14,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.62 : 45,638.26 = 9,644.12 : x
  2. Step 2: Convert to fraction form
    30,420.62/45,638.26 = 9,644.12/x
  3. Step 3: Cross multiply
    30,420.62x = 45,638.26 × 9,644.12
  4. Step 4: Simplify right side
    30,420.62x = 440,140,856.03
  5. Step 5: Solve for x
    x = 440,140,856.03/30,420.62
  6. Step 6: Final answer
    x = 14,468.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.